Ian P Grant

Relativistic Quantum Theory of Atoms and Molecules (eBook, PDF)

Theory and Computation

• Format: PDF

Produktbeschreibung

This book presents a unified approach to modern relativistic theory of the electronic structure of atoms and molecules which will provide experimental and theoretical scientists and graduate students with a range of powerful computational tools for a growing range of physical, chemical, technological and biochemical applications. Starting from its foundations in quantum electrodynamics, the book contains a careful account of relativistic atomic and molecular structure based on Dirac's relativistic Hamiltonian, and the numerical algorithms implemented by modern computer programs. The relativistic atomic structure code GRASP, which can compute atomic energy levels, radiative transition rates and other atomic properties using the multiconfigurational Dirac-Hartree-Fock or relativistic configuration interaction methods, is reviewed along with the relativistic R-matrix code DARC, which is used for the high precision modelling of the interactions of atoms and ions with photons and electrons. The recently developed BERTHA relativistic molecular structure code, the first to exploit fully the symmetry properties of Dirac 4-component spinors, provides a new resource for studying the properties of molecules, atomic clusters and other materials, especially those containing heavy elements for which a relativistic model is essential.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 800
• Erscheinungstermin: 15. April 2007
• Englisch
• ISBN-13: 9780387350691
• Artikelnr.: 37286034

Autorenporträt

Professor Grant first became aware of the need to develop a relativistic theory of atomic and molecular structure some 50 years ago in connection with X-ray absorption by heavy metals. In a 1961 paper, he showed that the Dirac-Hartree-Fock equations for atoms could be written in a simple form which has been used in all subsequent atomic calculations. This early work was generalized to permit more accurate multi-configurational calculations in the next two decades, implemented in the widely used GRASP code for relativistic modeling of electronic wavefunctions, energy levels and radiative transition probabilities of spectral lines. The DARC code, an extension of GRASP which is designed to calculate cross sections for atom/ion collisions with low-energy electrons or photons, was developed mainly in the 1980s and is now becoming more relevant for applications involving target atoms of higher atomic number. The BERTHA code is the first relativistic molecular structure code designed to take advantage of the internal structure of Dirac four-component spinors; its speed and accuracy are now beginning to be appreciated and utilized effectively by quantum chemists. The book is designed for all those who would like to know more about the mathematics and physics of relativistic atomic and molecular theory and who wish to use the computational machinery now available to solve problems in atomic and molecular physics and their applications.

Professor Grant was elected a Fellow of the Royal Society of London in 1992.

Inhaltsangabe

Relativity in atomic and molecular physics.- Relativistic wave equations for free particles.- The Dirac Equation.- Quantum electrodynamics.- Approximation of Dirac wavefunctions.- Complex atoms.- Computation of atomic structures.- Computation of atomic properties.- Continuum processes in many-electron atoms.- Molecular structure methods.- Relativistic calculation of molecular properties.- References.- Index.

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Relativity in atomic and molecular physics.- Relativity in atomic and molecular physics.- Foundations.- Relativistic wave equations for free particles.- The Dirac Equation.- Quantum electrodynamics.- Computational atomic and molecular structure.- Analysis and approximation of Dirac Hamiltonians.- Complex atoms.- Computation of atomic structures.- Computation of atomic properties.- Continuum processes in many-electron atoms.- Molecular structure methods.- Relativistic calculation of molecular properties.- Frequently used formulae and data.- Frequently used formulae and data.- Supplementary mathematics.- Supplementary mathematics.

Rezensionen

From the reviews: "Relativistic Quantum Theory of Atoms and Molecules is a book that should be on the desk of every atomic-physics student and research scientist. Written by a master of the field, it contains a wealth of information about relativistic atomic and molecular structures." (Walter Johnson, Physics Today, January, 2008)